A discrete-time dynamical system of stage-structured wild and sterile mosquito population

Dynamical system of a mosquito population with distinct birth-death rates

We study the discrete-time dynamical systems of a model of wild mosquito population with distinct birth (denoted by $β$) and death (denoted by $μ$) rates. The case $μ=β$ was considered in our previous work. In this paper we prove that for $β<μ$ the mosquito population will die and for $β>μ$ the population will survive, namely, the number of the larvaes goes to infinite and the number of adults has finite limit ${α\over μ}$, where $α>0$ is the maximum emergence rete.

Monotonicity properties arising in a simple model of Wolbachia invasion for wild mosquito populations

In this paper, we propose a simplified bidimensional Wolbachia infestation model in a population of Aedes aegypti mosquitoes, preserving the main features associated with the biology of this species that can be found in higher-dimensional models. Namely, our model represents the maternal transmission of the Wolbachia symbiont, expresses the reproductive phenotype of cytoplasmic incompatibility, accounts for different fecundities and mortalities of infected and wild insects, and exhibits the bistable nature leading to the so-called principle of competitive exclusion. Since Wolbachia-based bioco…

具有季节性和d-凹方程的蚊子种群抑制模型

Mosquito population suppression models with seasonality and d-concave equations

本文通过分析d-凹标量方程，利用庞加莱映射逆的三阶导数正号条件，简化周期情形论证，从而在简单可检验条件下精确描述含季节性的蚊子种群抑制模型动力学，推广并改进了近期文献结果。

存在不可进入区域时不育昆虫技术的效果：基于两斑块模型的研究

Efficacy of the Sterile Insect Technique in the presence of inaccessible areas: A study using two-patch models

本研究构建伊蚊两斑块模型，考虑处理区与不可进入区的离散扩散，分析恒定与脉冲周期性两种不育昆虫释放策略，证明不育雄虫释放量超阈值时可实现两区种群灭绝，阈值受种群参数与斑块扩散共同影响。

复合种群模型中的昆虫不育技术：网络结构、雄性歼灭技术与昆虫病原真菌对释放策略的影响

Sterile Insect Technique in a Metapopulation Model. Impact of Network Structure, Male Annihilation Technique and Entomopathogenic Fungi on the Release Strategies

本研究通过复合种群模型，结合网络结构、雄性歼灭技术和昆虫病原真菌，探讨了昆虫不育技术的最优释放策略，以实现东方果蝇种群的消除。

Modeling the transmission of Wolbachia in mosquitoes for controlling mosquito-borne diseases

We develop and analyze an ordinary differential equation model to assess the potential effectiveness of infecting mosquitoes with the Wolbachia bacteria to control the ongoing mosquito-borne epidemics, such as dengue fever, chikungunya, and Zika. Wolbachia is a natural parasitic microbe that stops the proliferation of the harmful viruses inside the mosquito and reduces disease transmission. It is difficult to sustain an infection of the maternal transmitted Wolbachia in a wild mosquito population because of the reduced fitness of the Wolbachia-infected mosquitoes and cytoplasmic incompatibilit…

具有阿利效应和大量诱捕的 n 斑块系统中的昆虫不育技术：建模、分析与模拟

Sterile Insect Technique in a n-patch system with Allee effect and mass trapping: modeling, analysis and simulations

研究在具有阿利效应和大量诱捕的 n 斑块系统中，通过明确集合种群模型纳入空间因素，推导确保消除野生种群的条件及释放持续时间上限，研究释放绝育昆虫数量的优化问题，通过模拟探索不同配置，确定最佳空间策略以实现种群消除。

Sustainable vector/pest control using the permanent Sterile Insect Technique

Vector/Pest control is essential to reduce the risk of vector-borne diseases or losses in crop fields. Among biological control tools, the sterile insect technique (SIT), is the most promising one. SIT control generally consists of massive releases of sterile insects in the targeted area in order to reach elimination or to lower the pest population under a certain threshold. The models presented here are minimalistic with respect to the number of parameters and variables. The first model deals with the dynamics of the vector population while the second model, the SIT model, tackles the interac…

具有Allee效应的时空依赖性灭蚊技术模型的反馈稳定化

Feedback stabilization for a spatial-dependent Sterile Insect Technique model with Allee Effect

本文提出了一种基于反应-扩散模型的反馈控制策略，用于通过灭蚊技术稳定化害虫种群，以实现长期低水平的害虫控制。

On nonlinear pest/vector control via the Sterile Insect Technique: impact of residual fertility

We consider a minimalist model for the Sterile Insect Technique (SIT), assuming that residual fertility can occur in the sterile male population.Taking into account that we are able to get regular measurements from the biological system along the control duration, such as the size of the wild insect population, we study different control strategies that involve either continuous or periodic impulsive releases. We show that a combination of open-loop control with constant large releases and closed-loop nonlinear control, i.e. when releases are adjusted according to the wild population size esti…

Optimal Control Approach for Implementation of Sterile Insect Techniques

Vector or pest control is essential to reduce the risk of vector-borne diseases or crop losses. Among the available biological control tools, the Sterile Insect Technique (SIT) is one of the most promising. However, SIT-control campaigns must be carefully planned in advance in order to render desirable outcomes. In this paper, we design SIT-control intervention programs that can avoid the real-time monitoring of the wild population and require to mass-rear a minimal overall number of sterile insects, in order to induce a local elimination of the wild population in the shortest time. Continuous…

Medea 基因驱动种群替换建模：阈值与释放策略

Modeling Medea gene-drive population replacement: thresholds and release strategies

本研究建立埃及伊蚊中 Medea 基因驱动的连续时间模型，分析其平衡点、稳定性及双稳态释放阈值，并通过敏感性分析和分批释放模拟，为野外种群替换提供策略指导。